3001242431220 has 192 divisors, whose sum is σ = 9244545811200. Its totient is φ = 721465507840.

The previous prime is 3001242431189. The next prime is 3001242431281. The reversal of 3001242431220 is 221342421003.

It is a happy number.

It is a super-2 number, since 2×3001242431220² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83982316 + ... + 84018044.

It is an arithmetic number, because the mean of its divisors is an integer number (48148676100).

Almost surely, 2^{3001242431220} is an apocalyptic number.

3001242431220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001242431220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622272905600).

3001242431220 is an abundant number, since it is smaller than the sum of its proper divisors (6243303379980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3001242431220 is a wasteful number, since it uses less digits than its factorization.

3001242431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36818 (or 36816 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3001242431220 its reverse (221342421003), we get a palindrome (3222584852223).

The spelling of 3001242431220 in words is "three trillion, one billion, two hundred forty-two million, four hundred thirty-one thousand, two hundred twenty".